The Burgers equation with periodic boundary conditions on an interval

DOI10.1134/S0040577916090087zbMath1351.35023OpenAlexW2524484147MaRDI QIDQ2520107

Alexey V. Samokhin

Publication date: 13 December 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577916090087

zbMATH Keywords

asymptotic behaviorinitial-boundary value probleminvariant solutionsawtooth wave

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear higher-order PDEs (35G20) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (3)

Asymptotic solutions of Burgers equation and modified Burgers equation satisfying flux type conditions ⋮ On nonlinear superposition of the KdV-Burgers shock waves and the behavior of solitons in a layered medium ⋮ Periodic boundary conditions for KdV-Burgers equation on an interval

Cites Work

• Gradient catastrophes and sawtooth solutions for a generalized Burgers equation on an interval
• On Hamiltonian perturbations of hyperbolic systems of conservation laws. II: Universality of critical behaviour
• On the critical behavior in nonlinear evolutionary PDEs with small viscosity
• The decay of sawtooth solutions to the Burgers equation

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